A number of simple Q & A's involving acceleration & force

14. An automobile traveling on a straight, level road at 14 m/s speeds up to 25 m/s in 30 seconds. What was the magnitude of the auto's acceleration?

15. Two opposite forces of 6.0 N and 4.0 N act on a 2.0 kg object. What is its acceleration?

16. An automobile with a mass of 100 kg is moving north on a level highway with a constant velocity of 80 km/h. What is the net force acting on the automobile?

Solution Preview

14. An automobile traveling on a straight, level road at 14 m/s speeds up to 25 m/s in 30 seconds. What was the magnitude of the automobiles acceleration?

Acceleration (a) is rate of change of velocity, thus we can express this as

a = change in velocity/change in time = Delta(v)/Delta(t)

Change in velocity is Delta(v) = final velocity - initial velocity = 25 - 14 = 11 m/s

Change in time Delta(t) = 30 - 0 = 30 s

a = 11/30 = 0.367 ...

Solution Summary

Change of velocity is examined over a known time to derive the acceleration of that body, Newtons second Law is used to detemine the net acceleration of a body of known mass when two opposing unequal forces are applied to that body and the net force acting on a body moving at constant veloicty is shown to be zero

A 10-g particle is undergoing simple harmonic motion with an amplitude of 2.0 x 10^-3 m and a maximum acceleration of magnitude 8.0 x 10^-3 m/s^2. The phase angle is -pi/3 rad.
a) Write and equation for the force on the particle as a function of time.
b) What is the period of the motion?
c) What is the maximum speed of the p

The Nuclear Force
(a) If there were no nuclear attraction, what would be the acceleration of either of two protons released at a separation of 4fm (1fm = 10-15m)?
(b) The minimum kinetic energy of a nucleon in a rigid cubical box of side a is given to be 20MeV. By setting a approximately equal to ~ 2R , the nuclear diame

Please help with the following problem.
A force F applied to an object of mass m1 produces an acceleration of 3.00m/s^2. The same force applied to a second object of mass m2 produces an acceleration of 1.00m/s^2.
(a) What is the value of m1/m2?.........I understand that a2/a1=1/3 --answer
(b) If m1 and m2 were combine

A 292 kg motorcycle is accelerating up along a ramp that is inclined 30 degrees above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3150 N and air resistance produces a force of 250 N that opposes the motion.
What is the magnitude of the motorcycle's acceleration?

Two crates, of mass 75 kg and 107 kg, are in contact and at rest on a horizontal surface. A 732 N force is exerted on the 75 kg crate.
If the coefficient of kinetic friction is 0.15, calculate the following:
(a) the acceleration of the system in m/s/s.
(b) the force that each crate exerts on the other in N.

A rock of mass 31 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 237 N. What is the magnitude of the acceleration of the rock?

Zak, helping his mother rearrange the furniture in their living room, moves a 50-kg sofa 6 meters with a constant force of 20 newtons. Neglecting friction,
a. What is the work done by Zak on the sofa?
b. What is the average acceleration of the sofa?

A balloon is descending with a constant acceleration "a" less than 'g' weight of the balloon with the basket and the contents is W. What weight m of the basket should be released so that the balloon will begin to accelerate upwards with constant acceleration 'a' ? Neglect air resistance.

Concept Question: A large rock and a small pebble are held at the same height above the ground.
(a) Is the gravitational force exerted on the rock greater than, less than or equal to that exerted on the pebble? Justify your answer.
(b) When the rock and the pebble are released, is the downward acceleration of the rock gre