1. A jet flying at 236.9 km/hr travels between two cities in 1.3 hour(s). A turboprop flying the same route takes 5.2 hours. What is the speed of the turboprop?
2. A 9.0 kg block is free to slide on a frictionless horizontal surface. A force of 4.6 N is applied to the block at an angle of parallel to the horizontal. Find the acceleration of the block (acceleration horizontal only).
3. A ball thrown straight up with a velocity of 3.0 m/s. How long (seconds) will it take for the ball to reach the highest point?
4. Initially a woman exerts a constant horizontal force on a large box. As a result, the box moves across a horizontal floor at constant speed "v0". The woman then doubles the constant horizontal force that she exerts on the box to push it on the same horizontal floor. The box then moves:
5. Two students push a small car down the driveway. The momentum of the 504.7 kg car is plotted as a function of time in the graph above and reaches 3000 kg m/s in 4 seconds. What is the average force of push by each student during the push?
6. The figure depicts a hockey puck sliding with constant speed v0 in a straight line from point "a" to point "b" on a frictionless horizontal surface. Forces exerted by the air are negligible. You are looking down on the puck. When the puck reaches point "b," it receives a swift horizontal kick in the direction of the heavy print arrow. Had the puck been at rest at point "b,", then the kick would have sent the puck in horizontal motion with a speed vk in the direction of the kick.
Along the frictionless path taken by the puck after receiving the kick:
a. is constant for a while and decreases thereafter.
b. continuously decreases.
c. continuously increases.
d. increases for a while and decreases thereafter.
e. is constant.
7. A 1353.12 kg car traveling north at 19.84 m/s collides with a 2092.43 kg pickup truck traveling east at 27.04 m/s. The car and pickup truck are locked together at the instant of the collision. What speed do these vehicles go immediately after the collision?
8. What is the tension on a cable attached to the top of an elevator (with a mass of 1289.2 kg) that is slowing down at 4.54 m/s2 as is travels in the downward direction?
9. A car accelerates at a constant rate of 5.37 m/s2 from rest at the beginning of a freeway entrance ramp. At the end of the ramp the car has a speed of 26.91 m/s. How long is the ramp?
10. A lab team acquires data and establishes a mathematical expression that relates circumference to the diameter of circular objects.
The mathematical model is:
Circumference = 7.2 (Diameter) + 12.6 cm
Using the results of this research what would the team estimate the circumference for a circular object with a diameter of 705.7 cm?
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The distance between the cities according to the jet is:
But according to the turboprop, the distance is:
Of course these two distances are the same, so we can equate them and solve for :
Plugging in the numbers:
A 9.0 kg block is free to slide on a frictionless horizontal surface. A force of 4.6 N is applied to the block at an angle of parallel to the horizontal. Find the acceleration of the block (acceleration horizontal only).
Newton's second law states that the acceleration vector a of mass M is proportional to the total net force F exerted on it:
Since the force is horizontal, the acceleration is horizontal as well/
Therefore, in our case:
A ball thrown straight up with a velocity of 3.0 m/s. How long (seconds) will it take for the ball to reach the highest point?
The first equation of motion of the ball is that of the instantaneous velocity:
Where is the initial velocity of the ball, g is the gravitational acceleration and t is the time elapsed.
At the maximal height, the instantaneous velocity is zero (otherwise the ball would continue).
From the velocity equation we get for the time:
Plugging in the numbers:
Initially a woman exerts a constant horizontal force on a large box. As a result, the box moves across a horizontal floor at constant speed "v0". The woman then doubles the constant horizontal force that she exerts on the box to push it on the same horizontal floor.
If the box moves with constant velocity, it has no acceleration. Hence, by Newton's second ...
The expert examines speed, force, acceleration and velocity. The angles of parallel horizontal acceleration are determined.