# physics

posted by .

1) a loaded cart with a mass of 96 kg sits at reat atop a 40 degree inclined plane that measures 20.5m long. accidentally the cart starts so to roll down the inclined plane with a frictional force of 5550N working against it for the intire 20.5m. deteremine the speed at the bottom og the incline plane.
2) a 1,420kg boulder at rest, begins to roll down a 52m long hillside. while rolling, the ground causes a frictional force of 12,040N. the boulder arrives at the bottom of the hillside with a speed of 19.5m/s. determine the boulder's original height.

• physics -

1. Wc = 96kg * 9.8N/kg = 940.8N @ 40deg = Weight of cart.

Fp = 940.8sin40 = 604.7N = Force parallel to the plane.

Fv = 940.8cos40 = 720.7n = Force perpendicular to the plane.

Ff = 555N = Force due to friction.

Fn = Fp - Ff = 604.7 - 555 = 49.7N =
Net force.

a = Fn/m = 49.7 / 96 = 0.518m/s^2.

Vf^2 = 0 + 2*0.518*21.5 = 22.27,
Vf=4.7m/s = Speed at bottom of incline.

## Similar Questions

1. ### physics (lVERY LONG)

A force of 200 N is being exerted on a blocki, which has a mass of 10 kg and is on 30 degrees inclined plane. The force is acting up the plane and parallel to it. The coefficient of friction between the block and the plane is .3 and …
2. ### fizik

b) A ball of mass 3.5 kg starts from rest and slides down a rough inclined plane 60 cm long in 0.6 s. i) Calculate the net force acting on the object along the inclined plane
3. ### phics

In an experiment on motion, a cart weighing 240 N was pulled up an inclined plane. Which of the following would be the expected reading on the spring scale as the cart is pulled up an inclined plane set upon two books
4. ### Physics

A 20 kg box approaches the foot of a 30 degree inclined plane with a speed of 10 m/s. the coefficient of friction between the box and the inclined plane is 0.2. (a) How far up the inclined plane will the box go?
5. ### phyisics

a cart of weight 25N is released at the top of inclined plane of length 1m, which makes an angle of 30° with the ground .it rolls down the plane and hits another cart of weight 40N at the bottom of the inclined plane. calculate the …
6. ### physics

a cart if weight 25 N is released at the top of an inclined plane of length 1m, which makes an angle of 30 degree with the ground. It rolls down the plane and hits another cart of weight 40 N at the bottom of the incline. Calculate …
7. ### Physics

A 0.050 kg cart has a spherical dome that is charged to +1.0 x 10–5 C. The cart is at the top of a 2.0-m long inclined plane that makes a 30° angle with the horizontal. The cart and the plane are placed in an upward pointing vertical …
8. ### PHYSICS

A cart of weight 25 N is released at the top of an inclined plane of length 1m, which makes an angle of 30° with the ground. It rolls down the plane and hits another cart of weight 40 N at the bottom of the incline. Calculate the …
9. ### Physics

A 42-kg box slides down a frictionless inclined plane. The angle of the inclined plane is 34.0 degrees. The distance from the box to the bottom of the inclined plane is 3 m. Draw the free body diagram of the force vectors acting on …
10. ### Physics

A block of ice of mass 30 kg is at rest atop an inclined plane of vertical height 2 m. It is released and slides down the inclined plane. What is its speed at the bottom of the inclined plane?

More Similar Questions