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MArishka [77]
4 years ago
14

The man fires an 80 g arrow so that it is moving at 80 m/s when it hits and embeds in a 8.0 kg block resting on ice. How far wil

l the block slide on the ice before stopping? A 7.1 N friction force opposes its motion.
Physics
1 answer:
Alexxx [7]4 years ago
7 0

Answer:

The block will be slide 0.36 m on the ice.

Explanation:

Given that,

Mass of arrow m₁= 80 g

Velocity of arrow u₁= 80 m/s

Mass of block m₂= 8.0 kg

Force F = 7.1 N

Using conservation of momentum

m_{1}u_{1}=m_{2}v_{2}

80\times10^{-3}\times80=8.0\times v

v =\dfrac{80\times10^{-3}\times80}{8.0}

v = 0.8\ m/s

The work done is equal to the change in kinetic energy

W=\Delta KE

W=\dfrac{1}{2}mv^2

W=\dfrac{1}{2}\times8.0\times0.8^2

W=2.56\ J

We know that,

The work is defined as,

W = F\cdot d

d = \dfrac{W}{F}

d=\dfrac{2.56}{7.1}

d =0.36\ m

Hence, The block will be slide 0.36 m on the ice.

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4 years ago
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How much force is required to accelerate a 57 kg skier 4 m/s2? ______ N (do not write anything except the number)
vfiekz [6]

The amount of force required to accelerate 57kg skier with an acceleration of 4m/s² is 228N.

<h3>How to calculate force?</h3>

Force is a physical quantity that denotes ability to push, pull, twist or accelerate a body and which has a direction and is measured in a unit dimensioned in mass × distance/time².

The force applied on an object can be calculated using the following formula:

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Force = 57kg × 4m/s²

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7 0
2 years ago
Solve 305809 square root by division method​
Rus_ich [418]
You use long division.

Find the largest number whose square is less than or equal to the number in the leftmost group (55 < 30 < 66). Take this number as the divisor and the quotient with the number in the leftmost group as the dividend (30). Divide and get the remainder (5 in this case).

Bring down the next pair 58. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 105 × 5 = 525, so we choose the new digit as 5. Get the remainder.

Bring down the next pair 09. Add the divisor with the quotient and enter it with a blank on its right. Guess a largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied to the new quotient the product is less than or equal to the dividend. In this case 1103 × 3 = 3309, so we choose the new digit as 3. Get the remainder.

Put the decimal point.

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4 years ago
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Temka [501]

Answer: 7291.2 joules

Explanation:

Work is done when force is applied on an object over a distance.

Thus, Workdone = Force X distance

Since Distance moved by box = 12 metres

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Recall that Force = Mass x acceleration due to gravity

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