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goblinko [34]
2 years ago
6

3) Calculate the kinetic energy of a 7 kg mass traveling at a velocity of 4 m/sec.

Physics
2 answers:
Pepsi [2]2 years ago
7 0

Answer:

56 J

Explanation:

Formula to find the kinetic energy is :

E_k = \frac{1}{2}  × m × v²

Here ,

m ⇒ mass

v ⇒  velocity

Let us solve now

 E_k = \frac{1}{2} × m × v²

     = \frac{1}{2} × 7 kg × ( 4 ms⁻¹ )²

     = \frac{1}{2} × 7 × 16

     = \frac{1}{2} × 112

     = 56 J

Hope this helps you :-)

Let me know if you have any other questions :-)

murzikaleks [220]2 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve ~

Given terms :

  • Mass (m) = 7 kg

  • velocity (v)= 4 m/s

The formula to find kinetic Energy is ~

\boxed{ \boxed{ \sf{ \frac{1}{2}  m{v}^{2} }}}

Now, apply the formula according to given situation

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{1}{2}  \times 7 \times ( {4)}^{2}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{1}{2}  \times 7 \times 16

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:7 \times 8

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:56 \:  \: joules

Therefore, the kinetic Energy of the car is 56 joules

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Answer:

The magnitude of F when t=4 s=146.64 N

Explanation:

We are given that

Mass of crate,m=6.00 kg

Height of crate above its initial position is given by

y(t)=(2.80 m/s)t+(0.610 m/s^3)t^3

We have to find the magnitude of F when t=4.00 s

Differentiate w.r.t t

\frac{dy}{dt]=2.8+3(0.61)t^2

\frac{d^2y}{dt^2}=6(0.61)t

a(t)=\frac{d^2y}{dt^2}=6(0.61)t m/s

a(4)=6(0.61)(4)=14.64 m/s^2

Now, magnitude of force

F=m(a+g)=6(14.64+9.8)=146.64N

Hence, the magnitude of F when t=4 s=146.64 N

4 0
3 years ago
Consider a sound wave moving through the air modeled with the equation s(x, t) = 5.00 nm cos(60.00 m−1x − 18.00 ✕ 103 s−1t). Wha
GaryK [48]

Answer:

Shortest time = 58.18 × 10^(-6) s

Explanation:

We are given;

s(x,t) = 5.00 nm cos((60.00 m^(−1)x) − (18.00 X 10³ s^(−1)t))

Let us set x = 0 as origin.

Now, for us to find the time difference, we need to solve 2 equations which are;

s(x,t) = 5.00 nm cos((60.00 m^(−1)x) − (18.00 X 10³ s^(−1)t1))

And

s(x,t) = 5.00 nm cos((60.00 m^(−1)x) − (18.00 X 10³ s^(−1)t2))

Now, since the wave starts from maxima at time at t = 0, the required time would be the difference (t2 - t1)

Thus, the solutions are;

t1 = (1/(18 × 10³)) cos^(-1) (2.5/5)

And

t2 = (1/(18 × 10³)) cos^(-1) (-2.5/5)

Angle of the cos function is in radians, thus;

t1 = 58.18 × 10^(-6) s

t2 = 116.36 × 10^(-6) s

So,

Required time = t2 - t1 = (116.36 × 10^(-6) s) - (58.18 × 10^(-6) s) = 58.18 × 10^(-6) s

4 0
3 years ago
Why can't heat be transferred between two objects that have the same temperature
Inessa [10]

Answer: Because temperature is a measure of the average kinetic energy of the atoms or molecules in the system. The zeroth law of thermodynamics says that no heat is transferred between two objects in thermal equilibrium; therefore, they are the same temperature.

Explanation:9 (- _ -)

3 0
3 years ago
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yan [13]

Answer:

Please find attached file for complete answer solution and explanation of same question.

Explanation:

6 0
4 years ago
You roll a toy car, and it moves 10 meters in five seconds. What is the car's velocity?
maks197457 [2]
  • Displacement = 10 m
  • Time = 5 s
  • We know,
  • velocity \:  \:  =  \frac{displacement}{time}  \\
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<h3>Answer:</h3>

The car's velocity is 2 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
2 years ago
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