Question

In: Physics

A sled with mass 100 kg moves in a straight line on a horizontal surface as...

A sled with mass 100 kg moves in a straight line on a horizontal surface as it is being pulled by a force 250 N at an angle of 35° with the direction of motion. A force of friction of 30 N acts on the sled. At one point in its path, its speed is 3.0 m/s; after it has traveled a distance d beyond this point, its speed is 8.0 m/s.

Use the work-energy theorem to find the total work done on the sled?

B. Find the distance d traveled by the sled.

Solutions

Expert Solution

Gravitational acceleration = g = 9.81 m/s²

Mass of the sled = m = 100 kg

Force with which the sled is pulled = F = 250 N

Angle at which the force is applied = = 35^o

Component of the pull force in the direction of motion = F_x = FCos

Friction force acting on the sled = f = -30 N (Negative as it acts in the opposite direction of the motion of the sled)

Distance traveled by the sled = d

Initial speed of the sled = V₁ = 3 m/s

Speed of the sled after travelling a distance 'd' = V₂ = 8 m/s

Total work done on the sled = W

The change in kinetic energy of the sled is equal to the total work done on the sled.

W = 2750 J

Net force on the sled = F_net

F_net = 174.8 N

Total work done on the sled is equal to the net force times the distance traveled by the sled.

d = 15.73 m

A) Total work done on the sled = 2750 J

B) Distance traveled by the sled = 15.73 m

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 5.0 kg mass is initially at rest on a horizontal frictionless surface when a horizontal...

A 5.0 kg mass is initially at rest on a horizontal frictionless surface when a horizontal force along an x axis is applied to the block. The force is given by ? ⃗(?) = (6.0?2 − 2?3)?̂, where the force in in newtons, x is in meters, and the initial position of the block is x = 0. (a) What is the work done in moving the block from x = 1.0 m to x = 3.0 m? (b) What...

A block of mass 4m moves on a flat horizontal surface at speed v, and strikes...

A block of mass 4m moves on a flat horizontal surface at speed v, and strikes another block of mass m, that is attached via a horizontal spring to another block of mass 2m. The two masses are stationary. The spring constant is k. All collisions are completely inelastic and there is no friction anywhere. What is the velocity of the center of mass when the spring is ¼ the way to max compression.

A mass of 5 kg is placed on a horizontal surface with a coefficient of kinetic...

A mass of 5 kg is placed on a horizontal surface with a coefficient of kinetic friction of 0.4. A force is applied vertically downward to it and another force of 81 Newtons is applied at 14 degrees below the horizontal. As it moves 5 meters in the +x direction it loses 180 Joules of kinetic energy. What is the amount of the force which is applied downward in Newtons?

M1 has a mass of 6.330 kg. It is on a horizontal surface connected by a...

M1 has a mass of 6.330 kg. It is on a horizontal surface connected by a massless string to a hook where M2 can be increased smoothly. The pulley has a negligible mass & no friction. When M2= 3.266 kg it begins to accelerate downward at a rate of 2.110 m/s2. Calculate us - uk between M1 and the surface.

A rocket of M = 20 kg moves in a straight line upwards and explodes 50...

A rocket of M = 20 kg moves in a straight line upwards and explodes 50 meters above the ground, separating into two fragments that are launched horizontally. One of the fragments, with a mass equal to two-thirds of the mass of the rocket, falls ten meters from the launch point. a) How far does the other fragment fall? b) At what speed does the lightest fragment reach the ground? c) If the explosion produces 300 J as heat, what...

Mass M moves to the right with speed =v along a frictionless horizontal surface and crashes...

Mass M moves to the right with speed =v along a frictionless horizontal surface and crashes into an equal mass M initially at rest. Upon colliding, the two masses stick together and move with speed V to the right. Notice that v and V denote different speeds. After the collision the magnitude of the momentum of the system is: (pick all correct answers) 2 M V M V 0 2 M v M v

(question1- )A 5 kg mass is attached to a spring on a horizontal frictionless surface. the...

(question1- )A 5 kg mass is attached to a spring on a horizontal frictionless surface. the elastic constant of the spring is 48.7 n/m if the mass is 31.6 cm right (+) of the equilbrium point and moving at speed 4.8 m/s find the total mechanical energy.? ( question2-) A 5 kg mass is attached to a spring on a horizontal frictionless surface. the elastic constant of the spring is 30.3 n/m .if the mass is 24.5 cm right (+)...

A box of mass 18.0 kg sits at rest on a horizontal surface. The coefficient of...

A box of mass 18.0 kg sits at rest on a horizontal surface. The coefficient of kinetic friction between the surface and the box is 0.300. The box is initially at rest, and then a constant force of magnitude FF and direction 39.0 ∘∘ below the horizontal is applied to the box; the box slides along the surface. A. What is F if the box has a speed of 6.00 m/s after traveling a distance of 8.00 mm? Express your...

A block of mass m = 98 kg slides along a horizontal surface. The coefficient of...

A block of mass m = 98 kg slides along a horizontal surface. The coefficient of friction between the block and the surface is μk = 0.38. The block has an initial speed of vo = 13 m/s in the positive x-direction as shown. a) write an expression for x-component of the frictional force the block experiences, F(f), in terms of the given variables and variables available in the palette b) what is the magnitude of the frictional force in...

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with...

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. Immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30

Subjects