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3 years ago

find the mass of a ball on a roof 30 meters high, if the ball's gravitational potential energy is 58.8 joules

Physics

2 answers:

Taya2010 [7]3 years ago

4 0

Answer:

0.2 kg

Explanation:

Height of roof from the ground=h=30 m

Gravitational potential energy=P.E=58.8 J

We have to find the mass of the ball.

We know that

Gravitational potential energy of ball= mgh

Where g= $9.8 m/s^2$

Substitute the values

$58.8=m\times 9.8\times 30$

$58.8=294 m$

$m=\frac{58.8}{294}$

Using division property of equality

$m=0.2 kg$

Hence, the mass of ball=0.2 kg

Sidana [21]3 years ago

3 0

We are given the gravitational potential energy and the height of the ball and is asked in the problem to determine the mass of the ball. the formula to be followed is PE = mgh where g is the gravitational acceleration equal to 9.81 m/s^2. substituting, 58.8 J = m*9.8 m/s^2 * 30 m; m = 0.2 kg.

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A mass of 0.5 kg hangs motionless from a vertical spring whose length is 1.10 m and whose unstretched length is 0.50 m. Next the

ser-zykov [4K]

Answer:

The maximum length during the motion is $L_{max} = 1.45m$

Explanation:

From the question we are told that

The mass is $m =0.5 kg$

The vertical spring length is $L = 1.10m$

The unstretched length is $L_{un} = 1.30m$

The initial speed is $v_i = 1.3m/s$

The new length of the spring $L_{new} = 1.30 m$

The spring constant k is mathematically represented as

$k = -\frac{F}{y}$

Where F is the force applied $= m * g = 0.5 * 9.8=4.9N$

y is the difference in weight which is $=1.10-0.50=0.6m$

The negative sign is because the displacement of the spring (i.e its extension occurs against the force F)

Now substituting values accordingly

$k = \frac{4.9}{0.6}$

$= 8.17 N/m$

The elastic potential energy is given as $E_{PE} = \frac{1}{2} k D^2$

where D is this the is the displacement

Since Energy is conserved the total elastic potential energy would be

$E_T = initial \ elastic\ potential \ energy + kinetic \ energy$

$E_T = \frac{1}{2} k D_{max}^2 = \frac{1}{2} k D^2 + \frac{1}{2} mv^2$

Substituting value accordingly

$\frac{1}{2} *8.17 *D_{max}^2 =\frac{1}{2} * 8.17*(1.30 - 0.50)^2 + \frac{1}{2} * 0.5 *1.30^2$

$4.085 * D_{max}^2 = 3.69$

$D^2_{max} = 0.9033$

$D_{max} = 0.950m$

So to obtain total length we would add the unstretched length

So we have

$L_{max} = 0.950 + 0.5 = 1.45m$

5 0

3 years ago

Read 2 more answers

B Minerals must be solid, have an orderly atomic structure, have a recognized chemical composition, be naturally occurring, and

zubka84 [21]

Answer:

Minerals must be solid, have an orderly atomic structure, have a recognized chemical composition, be naturally occurring and inorganic in origin.

Explanation:

6 0

3 years ago

The distance between 2 successive crests of a water travelling at 3.6m per second is 0.45m. calculate the frequency of the wave

Snezhnost [94]

Answer:

8 hz

Explanation:

Wave Frequency = $\frac{velocity}{wavelength}$

$F=\frac{3.6}{0.45} = 8$

7 0

3 years ago

You are riding in the passenger seat of a car as it goes around a tight turn. You slide across the seat to the passenger side do

DochEvi [55]

Answer:

1. b. The door is exerting a centripetal force on you that balances the centrifugal force of the turn.

2. b. There is no net force acting on the object.

Explanation:

1. This is because as you move to the right due to the centrifugal force of the turn, a corresponding centripetal force acts on you due to the door which does not allow you fall out of the car since, the door is exerting a centripetal force on you that balances the centrifugal force of the turn.

So, the answer is b

2. This is because, since the object moves at a constant speed and thus does not accelerate, no net force can act on it since, a net force would imply that the object accelerates. Note that a constant speed does not imply that no force acts on it. It only shows that the resultant or net force is zero since the object does not accelerate.

So, there is no net force acting on the object.

So, b is the answer.

6 0

2 years ago

A wave with a frequency of 17 Hz has a wavelength of 4 meters. At what speed (in m/s) will this wave travel?

Molodets [167]

Answer:68m/s

Explanation:

Frequency=17Hz

Wavelength=4metre

Wave speed=frequency x wavelength

Wave speed =17 x 4

Wave speed =68m/s

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3 years ago