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3 years ago

9

A player hits a tennis ball into the air with an initial velocity of 32 m/s straight up. How fast is the ball moving at the high

est point in its trajectory if air resistance is negligible?

1 answer:

Zielflug [23.3K]3 years ago

8 0

0 m/s, the ball will stop before transferring to the force of gravity on earth (-9.8 m/s^2) starts acting on it.

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A bowling ball weighing 71.2 N is attached to the ceiling by a 3.70 m rope. The ball is pulled to one side and released; it then

amm1812

Answer:

a, 7.26kg

b, 36.59N

Explanation:

The question says it swings like a pendulum, as such, we would use the formula for circular acceleration.

a = v²/r

a = 4.2²/3.7

a = 17.64/3.7

a = 4.77m/s²

The acceleration of the ball is directed towards the centre because circular acceleration is usually directed towards the centre

To find tension, recall, F = ma

m = F/a

m = 71.2/9.81

m = 7.26kg

In solving for tension then, we use our acceleration to be (9.81 - 4.77) = 5.04m/s²

Tension = ma

Tension = 7.26 * 5.04

Tension = 36.5904

Hence the tension in the rope is 36.59N

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4 years ago

Are we even real? Do we exist or are we robots or a simulation or experiment?

ipn [44]

what kind of question is this....anyways...

Yes, we are real and yes we do exist. Without God there would be no creation or any type of life on earth. So, yes because of God Himself the creator of us we exist.

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3 years ago

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A model rocket blasts off and moves upward with an acceleration of 12 m/s2 until it reaches a height of 26 m. at that height, it

Diano4ka-milaya [45]

initial acceleration of rocket is given as

a = 12 m/s^2

h = 26 m

now we can use kinematics to find its speed

$v_f^2 - v_i^2 = 2 a h$

$v_f^2 - 0 = 2 * 12*26$

$v_f = 24.98 m/s$

now after this it will be under free fall

so now again using kinematics

$v_f = 0$

at maximum height

$v_f^2 - v_i^2 = 2 a s$

$0 - 24.98^2 = 2 * (-9.8)* h$

$h = 31.8 m$

total height from the ground = 31.8 + 26 = 57.8 m

Part b)

now after reaching highest height it will fall to ground

So in order to find the speed we can use kinematics again

$v_f^2 - v_i^2 = 2 a d$

$v_f^2 - 0 = 2*9.8*57.8$

$v_f = 33.67 m/s$

Part c)

first rocket accelerate to reach height 26 meter and speed becomes 24.98 m/s

now we have

$v_f - v_i = a t$

$24.98 - 0 = 12*t_1$

$t_1 = 2.1 s$

after this it will reach to highest point and final speed becomes zero

$v_f - v_i = at$

$0 - 24.98 = -9.8 * t$

$t_2 = 2.55 s$

now from this it will fall back to ground and reach to final speed 33.67 m/s

now we have

$v_f - v_i = at$

$33.67 - 0 = 9.8 * t$

$t_3 = 3.44 s$

so total time is given as

<em>t = 3.44 + 2.55 + 2.1 = 8.1 s</em>

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3 years ago

Which type of energy increases when an object’s atoms move faster? A.nuclear B.mechanical C.chemical D.thermal

erica [24]

When an object's atoms move faster, its thermal energy increases and the object becomes warmer.

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4 years ago

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One star is emitting primarily visible light and another star is emitting primarily infrared light. which star is hotter?

Leona [35]

The star that would be hotter would be; the star emitting visible light.

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4 years ago