Question

1) A 68 kg skydiver falls at a contast terminal speed of 59m/s. at what rate is gravitational potential energy being removed from the earth-skydiver system in kw?

2) A 2.0 kg block is dropped from a height of 40cm onto a spring of force constant k= 1960 n/m. what is the max displacement of the spring in cm?

Answer #1

1). Inital Speed of skydiver, u= 0m/s (Since he falls from the height thus initially was at rest)

Final speed, v= 59 m/s

Acceleration acting on him, a= +g= +9.8 m/s^{2} (Since
gravity supports the motion)

then let time taken be "t" and he falls fom the height "h". Then using equations of motion,

.........................**(1)**

and

..........................**(2)**

then rate of loss of gravitational potential energy is,

using equation 1 and 2 in above,

**(ANS)**

2). Mass of block, m= 2.0kg

Height of block, h= 40cm=0.4m

Spring constant, k= 1960 N/m

Let maximum displacement is "x_{m}" then **Using
Energy Conservation Principle**,

**Gravitational Potential ENergy= Maximum Spring Potential
Energy**

Using given values in above,

**(ANS)**

A block of mass m = 2.0 kg is dropped from height h = 40 cm onto
a spring of spring constant k = 1960 N/m (Fig.8-39 page 204).Find
the maximum distance the spring is compressed.

Pleaed do it ASAP
06. A block of mass 2.0 kg is dropped from a height h onto a
spring of spring constant 1960 N/m. The compression of the spring
is 10 cm. a. Find h. b. Then the block is further pushed down an
additional 10 cm and released. What is the elastic potential energy
of the compressed spring just before the release?

A 1.40 kg block slides with a speed of 0.950 m/s on a
frictionless horizontal surface until it encounters a spring with a
force constant of 734 N/m. The block comes to rest after
compressing the spring 4.15 cm. Find the spring potential, U, the
kinetic energy of the block, K, and the total mechanical energy of
the system, E, for compressions of (a) 0 cm, (b) 1.00 cm, (c) 2.00
cm, (d) 3.00 cm, (e) 4.00 cm

You drop a block (5.47 kg) from a height of 21.61 m onto spring
(k = 93.2 N/m). The spring compresses and then relaunches the ball.
We will assume that air drag acts as a constant external force when
the ball is travelling in the air. F(drag) = 2.7 N
What is the work done by external forces when the block falls to
the ground ?

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