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2 years ago

A pendulum is made by tying a 75 g ball to a 130-cm-long string. the ball is pulled 5.0∘ to the side and released.

1 answer:

6 0

The ball’s speed and direction at the lowest point of trajectory are; 3.1 m/s and swing to the same angle on the other side

<h3>What is the speed at the lowest point?</h3>

We will assume that all of the motion will transfer to Kinetic Energy at the lowest point. Now, the difference in height will be;

Δh = (130 – 130*cos °5) = 0.49 cm

The change in PE is;

ΔP.E = mgΔh

ΔP.E = 9.8m/s² × 0.75kg × 0.049 m

ΔP.E = 0.36015 J

Formula for kinetic energy is;

K.E = ¹/₂*m*v²

From conservation of energy;

K.E = P.E

Thus;

¹/₂* 0.075 * v² = 0.36015

v = √[(0.36015 * 2)/0.075]

v = 3.1 m/s

Thus, the pendulum will swing to the same angle on the other side.

Read more about Speed of Pendulum at; brainly.com/question/17054952

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3 years ago

rock x is released from rest at the top of a cliff that is on earth. a short time later, rock y is released from rest from the s

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The velocity of an object in free fall increases downwards with time

Please find attached the correct graph showing velocity as a function time, with the positive direction to be upwards.

Reason:

The known parameters are;

Location where the rocks are released; Earth

The time at which rock Y is released = A few seconds after rock X is released.

Required:

To select the graph that shows the vertical velocity of rock, <em>x</em>, as a function of time.

Solution:

Let <em>t </em>represent the time after which rock x are released, with the positive direction being upwards, we have;

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3 years ago

Janice had an average bowling score of 85. When she played her next game she scored 99 – her highest score yet! this raised her

Tcecarenko [31]

The score in the next game that will raise her average to 88 is 106.

To calculate the score in the next game, first, we need to calculate the number of games played by Janice.

<h3>Formula:</h3>

(85n+99)/(n+1) = 87............. Equation 1

Where:

n = number of games played by Janice.

Solve for n.

85n+99 = 87(n+1)
85n+99 = 87n+87

Collect like terms

87n-85n = 99-87
2n = 12
n = 12/2
n = 6.

For her average to raise to 88, she needs to score y.

[85(6)+y]/(6+1) = 88
(510+y)/7 = 88
y+510 = 616
y = 616-510
y = 106.

Hence, The score in the next game that will raise her average to 88 is 106.

Learn more about average here: brainly.com/question/20118982

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