What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? (At this point the spring is compressed 0.0190 m). See details.
A 2.55 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0390 m. The spring has a force constant of 815 N/m. The coefficient of kinetic friction between the floor and the block is 0.35. The block and spring are released from rest and the block slides along the floor.
A 2.55 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0390 m. The spring has a force constant of 815 N/m. The coefficient of kinetic friction between the floor and the block is 0.35. The block and spring are released from rest and the block slides along the floor.
By signing up, you agree to our Terms of Service and Privacy Policy
To find the speed of the block when it has moved a distance of 0.0200 m from its initial position, we can use the principle of conservation of mechanical energy. The initial potential energy stored in the compressed spring is equal to the final kinetic energy of the block.
Let's denote the initial compression of the spring as x, the spring constant as k, and the mass of the block as m. Using Hooke's Law, we have:
(F = -kx)
Where F is the force exerted by the spring.
The potential energy stored in the spring when it is compressed by a distance x is given by:
(PE = \frac{1}{2} kx^2)
When the block has moved a distance of 0.0200 m from its initial position, the spring is compressed by 0.0190 m (since the spring is compressed by x when the block moves by 0.0200 m). So, we can calculate the initial potential energy stored in the spring using the value of x.
Next, we equate this potential energy to the kinetic energy of the block:
(KE = \frac{1}{2} mv^2)
Where v is the speed of the block.
By setting the initial potential energy equal to the final kinetic energy, we can solve for v.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- An object with a mass of #2 kg# is hanging from an axle with a radius of #3 m#. If the wheel attached to the axle has a radius of #4 m#, how much force is needed to raise the object?
- What energy conversion takes place during photosynthesis?
- The force applied against a moving object travelling on a linear path is given by #F(x)= x + 4#. How much work would it take to move the object over #x in [ 0 , 2] #?
- An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #38 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?
- A ball with a mass of #20 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #24 (kg)/s^2# and was compressed by #5/4 m# when the ball was released. How high will the ball go?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7