Physics -> Mechanics -> Newton's Laws of Motion

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A 500 gram ball is dropped from a height of 50 m. When it hits the floor, it bounds off the floor and rises to a height 35 m. Assuming that the ball was in contact with the floor for a duration of 2.3 ms, find the average force experienced by the ball while in contact with the floor.

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A person weighs 900 N on earth. What will be his weight on the Moon? What will be his weight on Jupiter? Acceleration of gravity on Moon and Jupiter is 1.63 and 25.9 m/s^2 respectively.

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A bullet is fired from a rifle. It leaves the muzzle of the rifle with a speed of 400 m/s. What is the force acted upon the bullet during its travel through the 0.80 m barrel. Assume that the mass of the bullet is 5 grams and that the force is constant.

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Two students pull a bookcase in two directions as shown in the figure. Find the resultant force on the bookcase. Find the acceleration of the bookcase if its mass is 600 kg.

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A 50 kg carton is pulled up a hill inclined at 20^o with respect to the horizontal. Tow rope has a tension of 150 N. Assuming that the carton starts from rest from the bottom of the hill, find its speed when it has moved a distance of 100 m along the slope. Neglect any friction.

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A mass m1 resting on a frictionless table is connected to a cable that passes over a pulley. The other end of the cable is connected to a mass of m2. Find the acceleration of the masses and the tension in the cable in terms of the given quantities. Assume that there is no friction between the pulley and the cable.  

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A crate with a weight of 300 N accelerates along a frictionless surface as the it is pulled with a force of F = 15.0 N as shown in the figure. What is the horizontal acceleration of the crate?

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Momentum and Impulse 

(1) What acceleration does Jeff give his 0.48 Kg Physics book, when he accidentally knocks it off a table with an impulse of 2.3 Ns in 0.10 s?

(2) A force of 3420 N is applied to a 145 g baseball. If the baseball approaches the batter at 41.3 m/s and leaves at 44.2 m/s, how long was the bat in contact with the ball?

(3) Crash test dummies sometimes do not wear seat belts. If a 78 Kg dummy, in a car traveling at 53 Km/h, hits a concrete barrier and stops in 0.20 s, what is the force applied to the dummy?

(4) How much force is applied to a 76 Kg man’s legs when he jumps off a table 1.0 m above the
floor, if it takes 0.11 s for him to stop? (HINT: Remember your kinematic equations.)

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1. Calculate the momentum of a car that is traveling east on I-80 at 32 Km/hr. The mass of the truck is 982 Kg.

2. If Peter backs his 28,000 Kg pick-up truck down his driveway at 1.75 m/s, what is the magnitude of the truck’s momentum?

3. Calculate the momentum of a 132 Kg person in a car traveling south on I-95 at 78 Km/hr.

4. What is the momentum of a 1.31 N helium balloon as it flies away at 3.51 m/s?

(student posted question)

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A mass of 152 g collides with a stationary 132 g mass. If the collision is totally inelastic, calculate the final speed of the mass if the initial speed was 0.854 m/s.

A 2.30 Kg mass, moving at a speed of 4.21 m/s collides with an identical mass at rest. After the collision, the first mass moves at a 32° angle (to the left) and the second mass moves at a 58° angle (to the right). Calculate the speed of both masses after the collision.

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Atwood Machine

Two masses hang from either side of a pulley (500 g, diameter = 35 cm) as shown. Find the acceleration of the system and the tensions in the cord. Find the tension on the codes.

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Elevator Problem:

The tension in a string holds a solid block of wood, with a density of 0.788 gm/cm³, below the surface of a liquid that has a density of 0.932 gm/cm³. The container is placed in an elevator that accelerates vertically upward at 11.6 m/s².
Determine the tension in the string if the volume of the wooden block is 33.7 cm³ and its height is 5.11 cm. Show all work, including a free body diagram.