# physics

a box with mass 20kg rests on a frictionless ramp with a 15degree slope. a mover pulls up on a rope attached to the box to pull it up the incline. if the rope makes a 40 degree angle with the horizontal, what's the smallest force that the mover will have to exert to move the box up the ramp?

1. 👍
2. 👎
3. 👁
1. Ok, the rope makes a 25 degree pull from the direction of the ramp. That means it has a component in the direction of the ramp (F*cos25)

Weight of the box is directed down the ramp, mgSin15
So F*cos25=mgSin15 to put it in equilibrium, and F has to be slightly larger to move it up the ramp. Solve for F

1. 👍
2. 👎
👤
bobpursley
2. Dsgfalkngksndg;jsb

1. 👍
2. 👎

## Similar Questions

a block of mass 2.50 kg rests on a ramp. if the coefficient of static friction between the block and ramp is 0.350, what maximum angle can the ramp make with the horizontal before the block starts to slip down?

2. ### PHYSICS

A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move downward just as the angle of inclination reaches 15 degrees. What is the coefficient of static friction between box and ramp?

3. ### physics

A mass m1 = 18.7 kg on a frictionless ramp is attached to a light string. The string passes over a frictionless pulley and is attached to a hanging mass m2. The ramp is at an angle of θ = 23.7° above the horizontal. m1 moves up

4. ### Physics

A 6.0kg box is on a frictionless 45∘ slope and is connected via a massless string over a massless, frictionless pulley to a hanging 2.4kg weight. What is the tension in the string if the 6.0kg box is held in place, so that it

1. ### Physics

A box with mass 13.0 kg moves on a ramp that is inclined at an angle of 55.0∘ above the horizontal. The coefficient of kinetic friction between the box and the ramp surface is μk = 0.300. FIND A) Calculate the magnitude of the

2. ### physics

A box rests on a frozen pond, which serves as a frictionless horizontal surface. If a fisherman applies a horizontal force with magnitude 48.0 N to the box and produces and acceleration of magnitude 3.00 m/s squ, What is the mass

3. ### physics

In the figure below, a constant force of magnitude 82.0 N is applied to a 2.55 kg shoe box at angle = 64.5°, causing the box to move up a frictionless ramp at constant speed. How much work is done on the box by a when the box has

4. ### Calculus

Suppose a box on a frictionless ramp is being pulled by a rope with a tension of 350 N making an angle of 50° to the horizontal ground. If the angle of incline of the ramp is 20°, and the box is pulled 5 m, determine the amount

1. ### Physics

Two boxes are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30° above the horizontal (see the Figure below), and the system is released from rest.

2. ### physics

A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20 degrees, and the man pulls upward with a force F whose direction makes an angle of 30 degrees with the ramp. a) how large a forec F

3. ### physics

A box whose mass is 20 kg rests on a frictionless ramp with a 15 degree (upward) slope. A mover pulls up on a rope attached to the box to pull it up the incline. If the rope makes an angle of 40 degree with the horizontal, what

4. ### Physics

The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to