This solution explains the concept of finding acceleration by using calculus. Step by step solution is provided to explain the same.
A block is given an initial push force up a smooth frictionless incline of 15 degrees that propels it up at 2m/s. -What is the acceleration of the block? -What is the distance the block travels up the plane? -What is the time the block takes to return back down to the starting point?
A particle is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point O. The particle is set into motion, so that it describes a horizontal circle whose centre is vertically below O. To determine angular speed, acceleration, tension in string etc.
(Please see the attached file) A particle is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point O. The particle is set into motion, so that it describes a horizontal circle whose centre is vertically below O. The angle between the string and the vertical is theta, as s
Please see the attached file. The slender uniform bar ABC has a mass of 12 kg and is anchored to the support ceiling by two cables T1 and T2. Given that T2 breaks; find the tension in T1 immediately after the break. Solve using the equations of motion for the x and y directions. Take the moments about the Center Of Mass (point
A large cube is being accelerated across a frictionless surface by a force P. A small cube is in contact with the front surface of the large cube. The coefficient of static friction between the cubes is 0.71. What is the smallest magnitude of P in order to keep the small cube from sliding down?
A large cube of 25 kg is being accelerated across a frictionless horizontal surface by a horizontal force P. A small cube (4 kg) is in contact with the front surface of the large cube and will slide downwards unless P is sufficiently large. The coefficient of static friction between the cubes is 0.71. a) Draw separate freeb
Please see attachment. 11. What is the weight of a 2.50-kg bag of sand on the surface of the earth? 12. A 2.00-kg projectile is fired at an angle of 20.0 degrees. What is the magnitude of the force exerted on the projectile when it is at the highest position of its trajectory? 13. A 44-kg child steps onto a scale and the s
Please see attachment. Thank You your help is greatly needed. 1. A ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. What is the period of the motion? 2. A racecar is traveling at constant speed around a circular track. What happens to the centripetal acceleration of the car if the speed is doubled
Pennies are placed every 10 cm along a meter stick. One end is held as a pivot and release the other end from a horizontal position. Pennies near the pivot stay on the meter stick while the pennies near the released end are left behind. What is the acceleration of the released end of the meter stick and how far should a penny be placed from the end of the meter stick so that it is not left behind.
You and a friend place pennies every 10 cm along a meter stick. You hold one end as a pivot and release the other end from a horizontal position. You note that the pennies near the pivot stay on the meter stick while the pennies near the released end are left behind. a) At the instant that the (pivoted) meter stick is releas
The firetruck us moving forward at a speed of 35 MPH and is decelerating at a rate of 10ft/sec.^2. Simultaneously, the ladder is being raised and extended. At the instant considered the angle Ø is 30° and is increasing at a rate of 10 degrees/sec . Also at this instant the extension b of the ladder is 5 ft and Vb = 2 feet /
Problem: The incline is 30 degrees with a kinetic friction coefficient of 0.20. Initially the system is not moving. It is given a push uphill at 1m/s and there is a total distance of 1.5m from initial point to the end of the incline. a. Minimum coefficient of friction to keep the system from moving initially b. Whe
See Attachments Please include all FBD and explanations. 1. The launch catapult of an aircraft carrier gives the 7Mg jet airplane gives the airplane a constant acceleration and launches the airplane in a distance of 100 m measured along the angled takeoff ramp. The carrier is moving at a constant speed of 16 m/s. If an ab
Determine the acceleration of bodies A and B and the tension in the (non stretching) cable due to the application of the 60 lb force.
(Please see the attachment for fig.) Determine the acceleration of bodies A and B and the tension in the (non stretching) cable due to the application of the 60 lb force. Neglect all frictional forces and the masses of the pulleys. (mass will be in slugs) Find 1. Acceleration of A 2. Acceleration of B
Determine the acceleration of bodies A and B and the tension in the (non stretching) cable due to the application of the 60 lb force. Neglect all frictional forces and the masses of the pulleys (mass will be in slugs).
Please refer attachment and answer 2/232 only.
In the pulley system shown (see attachment) the two upper pulleys are welded together to form one unit the cable is wrapped around the smaller pulley with the end secured to the pully (no slip) . Determine the upward acceleration of B if A has a downward acceleration 0f 2 ft/sec.
A rocket-driven car of total mass M loses mass at a constant rate. To derive expression for acceleration.
Please see attachment for full problem description. A rocket-driven car of total mass M loses mass at a constant rate lembda per unit of time at a constant ejection speed V relative to the car. If the total resistance to motion is kv with the speed is v, show that the acceleration of the car along a straight horizontal road i
A baseball pitcher throws a baseball with an initial velocity of 133 feet per second at an angle of 20° to the hoizontal. The ball leaves the pitcher's hand at a height of 5 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximu
1. Given the perihelion distance, aphelion distance and speed at perihelion of a planet, which of the following cannot be calculated? a) the mass of the start b) the mass of the planet c) the speed of the planet at aphelion d) the period of orbit e)the semimajor axis of the orbit 2. The mass density of a certain planet
Please see attached file for full problem description. A 4.40-kg block is placed on top of a 5.50-kg slab. If the slab is held fixed, the block can be made to slip only if a minimum force of 12.0 N is applied to it. The assembly is now placed on a horizontal, frictionless surface, as shown in the diagram. a) What is th
1) An icecream truck is moving at 20m/s. It then speeds up for 5 seconds at 8m/s. what is its velocity at this time? 2) A rocket in space moves at constant velocity of 9.8m/s then it uses propulsion system to accelerate to 10m/s guring 3min. burndown. What is accelearation of the rocket?
4. A painter of mass 70.0 kg stands on a platform of mass 75.0 kg and pulls on two ropes which hang over pulleys. He pulls each rope with a force of 750.0 N. Assuming a coordinate system where +y is up, calculate the y-component of the acceleration ay. ay can either be positive or negative depending on the direction of the accel
A 4.44 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=10.7N at an angle theta=22.0degrees above the horizontal, as shown. What is the magnitude of the acceleration of the block when the force is applied? What is the magnitude of the normal force acting on the block when the force
1. During a circus performance, a 73.0-kg human cannonball is shot out of an 17.7-m-long cannon. If the human cannonball spends 0.812 s in the cannon, determine the average net force exerted on him in the barrel of the cannon. (Assume an the acceleration is constant.) 2. A newly discovered planet has a mass that is 1.45 times
Objects A and B are both positively charged. Both have a mass of 500 g, but A has twice the charge of B. When A and B are placed 50.0 cm apart, B experiences an electric force of 0.810 N. 1) How large is the force on A? 2) What are the charges q_A and q_B? 3) If the objects are released, what is the initial acceleration of
Acceleration & Force : 1. Calculate the average acceleration of a car that changes speed from 0 m/s to 15 m/s in 5 s. 2. Suggest why placing wheels under a heavy box reduces the necessary force required to push it along at a constant speed. 3. Evaluate the change of motion in the following cases in which the forces o
1. In her Mustang, Kelly rounds a curve onto a straight section of country road while traveling at 45 mph, only to find a fully loaded manure spreader completely blocking the road 37 m ahead of her. Startled, she travels at a constant velocity for 0.80 s of reaction time, then hits the brakes and slows with a constant accelerati
64. (The clepsydra, or water clock) A 12 hour water clock is to be designed with the dimensions shaped like the surface obtained by revolving the curve y = f(x) around the y-axis. What should be this curve, and what should be the radius of the circular bottom hole, in order that the water level will fall at the constant rate o
Problem # 9 - The semicircular disk having a mass of 10 kg is rotating at  = 4 rad/s at the instant  = 60 . If the coefficient of static friction at A is  s = 0.5, determine if the disk slips at this instant. See attached file for full problem description.