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Sophie [7]
3 years ago
11

A ball is thrown with an initial upward velocity of 5 m/s.

Physics
1 answer:
miv72 [106K]3 years ago
6 0

Answer:

A ball is thrown at an initial height of 5 feet with an initial upward velocity at 29 ft/s. lets assume that  balls height h (in feet) after t seconds is give by:

<u>h= 5 + 29t -16t^2</u>

Explanation:

h= 5 + 29t -16t^2

 

a time when the ball's height will be 17 ft

 

17 = 5 + 29t -16t2

 

0 = -17 + 5 + 29t -16t2

 

0 = -12 + 29t - 16t2

 

Using the quadratic equation:

 

t = (-29±√(292-(4*(-16)*(-12))))÷2(-16)

 

 = (-29±√(841 - 768))÷(-32)

 

 = (-29±√(73))÷(-32)

 

 = (-29 + 8.544)÷(-32)   or   (-29 - 8.544)÷(-32)

 

 = (-20.456)÷(-32)         or   -37.544÷(-32)

 

 =  0.64                         or   1.17

 

So, the ball is at a height of 17 ft twice: once on the way up after 0.64 seconds and once on the way back down after 1.17 seconds.

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A bottle rocket takes off with a = 34.5 m/s2. It
sergiy2304 [10]

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8 0
3 years ago
You are performing a knee extension exercise. You hold a 20kg weight at full knee extension. The weight is 0.4m from your knee j
dmitriy555 [2]

Answer:

The moment is -78.4 N-m (clockwise).

Explanation:

Given:

Mass of the object (m) = 20 kg

Distance of the object from the knee joint (d) = 0.4 m

Weight of leg is not considered.

Acceleration due to gravity (g) = 9.8 m/s²

Now, weight of the object is equal to the product of its mass and acceleration due to gravity. So,

Weight = Mass × Acceleration due to gravity

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We know that, moment of a force about a point is defined as the product of force applied and the perpendicular distance between the point and the line of application of force.

Moment of the given weight about the knee joint is given as:

Moment about knee joint = Weight × Distance from knee joint to weight

Moment about knee joint = 196 × 0.4 = 78.4 Nm

Now, from the diagram below, we can observe that, the weight acts vertically down and thus the sense of rotation about the knee joint at point O is clockwise. So, moment is negative.

Therefore, the moment is -78.4 N-m (clockwise).

7 0
3 years ago
Damping is negligible for a 0.135-kg object hanging from a light, 6.30-N/m spring. A sinusoidal force with an amplitude of 1.70
IceJOKER [234]

Answer:

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The lower frequency is 0.72 Hz and higher is 1.36 Hz

8 0
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