In the absence of friction do we expect the final velocity of the cart to be...

In the absence of friction do we expect the final velocity of the cart to be affected by adding mass to it? Support your answer using energy conservation.

Solutions

Expert Solution

In te absence of friction, the final velocity of the cart won't be affected by adding mass to it.

Suppose we are sliding a cart on an inclined frictionless surface. Let the mass of the cart is m, and the initial height of the cart is h.

Therefore, the velocity of the cart at the bottom of the inclined plane can be calculated by using conservation of energy.

Initially the cart has only potential energy. So, initial energy of the system is

And at the bottom of the plane, the cart will have only kinetic energy. i.e.

Where v is velocity of the cart at the bottom of the plane.

In the absence of friction, using conservation of energy, we can write

or,

Here we can see that, the final velocity of the cart is independent of mass if the friction is not present.

Hence, if we add extra mass to the cart, it won't effect the final velocity of the cart.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 1.0-kg standard cart collides on a low-friction track with cart A. The standard cart has...

A 1.0-kg standard cart collides on a low-friction track with cart A. The standard cart has an initial xcomponent of velocity of +0.40 m/s, and cart A is initially at rest. After the collision the x component of velocity of the standard cart is +0.20 m/s and the x component of velocity of cart A is +0.70 m/s . After the collision, cart A continues to the end of the track and rebounds with its speed unchanged. Before the carts...

2. In the absence of market imperfections and tax effects, we would expect the share price...

2. In the absence of market imperfections and tax effects, we would expect the share price to decline by the amount of the dividend payment when the stock goes ex dividend. Once we consider the role of taxes, however, this is not necessarily true. One model has been proposed that incorporates tax effects into determining the ex-dividend price: (Po – Px)/D = (1 – Tp)/(1 – Tg) Here, Po is the price just before the stock goes ex, Px is...

Show that the total energy of a harmonic oscillator in the absence of friction is conserved.

When vertically falling sand lands in a horizontally moving cart, the cart slows. Ignoring friction, give...

When vertically falling sand lands in a horizontally moving cart, the cart slows. Ignoring friction, give two reasons for this, one in terms of a horizontal force acting on the cart and one in terms of momentum conservation. b) In a movie, the hero jumps straight down from a bridge onto a small boat that continues to move forward with no change in velocity. What physics is being violated here?

we examined the concept of friction and how it affects everything we do. Air resistance is...

we examined the concept of friction and how it affects everything we do. Air resistance is an important type of friction that you don’t want to forget about as you prepare your post. Consider what the world would be like without friction. For example, in a world without friction, the pitcher in a baseball game can still pitch the ball because he can push off the pitching rubber. The pitching rubber is the rubber slab atop the pitching mound that...

a 2.34-kg cart on a long, level, low friction track is heading for a small electric...

a 2.34-kg cart on a long, level, low friction track is heading for a small electric fan at 0.21 m/s. The fan which was initially off, is turned on. As the fan speeds up, the magnitude of the force it exerts on the cart is given by at^2, where a=0.0200 N/s^2 A. What is the speed of the cart 3.5 s after the fan is turned on? (first i got 0.4958 m/s but was wrong) B. After how many seconds...

Two low-friction physics demo carts collide on a horizontal track. The first cart, with a mass...

Two low-friction physics demo carts collide on a horizontal track. The first cart, with a mass of 0.154 kg , is moving to the right with a speed of 0.810 m/s . The second cart, with a mass of 0.299 kg , is moving to the left with a speed of 2.21 m/s . The carts collide in an elastic collision, such that the total kinetic energy after the collsion is equal to the total kinetic energy before the collision....

A sensor uses ultrasound to measure position and velocity of a moving cart in 1 dimension.

A sensor uses ultrasound to measure position and velocity of a moving cart in 1 dimension. It emits acoustic waves at 25 kHz and the speed of sound in air is 343 m/s. The maximum range of the cart from the wave emitter is 3 meters.A: If the sensor wants to measure distance position accurately to within 1cm of the cart, what is the maximum velocity the cart can have and not change position by more than 1cm while the...

A person pushes a 24.2-kg shopping cart at a constant velocity for a distance of 17.6...

A person pushes a 24.2-kg shopping cart at a constant velocity for a distance of 17.6 m on a flat horizontal surface. She pushes in a direction 22.7 ° below the horizontal. A 42.4-N frictional force opposes the motion of the cart. (a) What is the magnitude of the force that the shopper exerts? Determine the work done by (b) the pushing force, (c) the frictional force, and (d) the gravitational force.

If the final result of the sterilization process requires the absolute absence of living forms from...

If the final result of the sterilization process requires the absolute absence of living forms from the surface and bulk of the item: Which destructions implies this sterilization process? From Where comes the achievement of the sterility status? Provide one example of medical devices sterilization.

Subjects