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lyudmila [28]
3 years ago
8

During a circus act, a performer thrills the crowd by catching a cannon ball shot at him. The cannon ball has a mass of m1 = 7.5

kg and the horizontal component of its velocity is v = 8.85 m/s when the performer, of mass m2 = 61.5 kg, catches it.
If the performer is on nearly frictionless roller skates, what is his recoil velocity?
Physics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

Explanation:

We shall apply law of conservation of momentum .

total Initial momentum =

7.5 x 8.85 = 66.375 kg m / s

total mass = 7.5 + 61.5 = 69 kg , common velocity of ball and performer be v

Total momentum = 69 v

69 v  = 66.375

v = 66.375 / 69

= .962 m /s .

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An object is thrown straight up with an initial velocity of 10 m/s, and there is an air resistance force causing an acceleration
lana [24]

Answer:

Vf= 7.29 m/s

Explanation:

Two force act on the object:

1) Gravity

2) Air resistance

Upward motion:

Initial velocity = Vi= 10 m/s

Final velocity = Vf= 0 m/s

Gravity acting downward =  g = -9.8 m/s²

Air resistance acting downward = a₁ = - 3 m/s²

Net acceleration = a = -(g + a₁ ) = - ( 9.8 + 3 ) = - 12.8 m/s²

( Acceleration is consider negative if it is in opposite direction of velocity )

Now

2as = Vf² - Vi²

⇒ 2 * (-12.8) *s = 0 - 10²

⇒-25.6 *s = -100

⇒ s = 100/ 25.6

⇒ s = 3.9 m

Downward motion:

Vi= 0 m/s

s = 3.9 m

Gravity acting downward =  g = 9.8 m/s²

Air resistance acting upward = a₁ = - 3 m/s²

Net acceleration = a = g - a₁  =  9.8 - 3  = 6.8 m/s²

Now

2as = Vf² - Vi²

⇒ 2 * 6.8 * 3.9 = Vf² - 0

⇒ Vf² = 53. 125

⇒ Vf= 7.29 m/s

8 0
4 years ago
The question is in the attachment. ​
sammy [17]

Answer:

Correct answer:  Yes, with acceleration a = 10 m/s²

Explanation:

By definition acceleration is equal.

a = ΔV / Δt = (V₂ - V₁) / (t₂ - t₁)

a = (10 - 0)/ (1 - 0) = (20 - 10)/ (2 - 1) = ........ (50 - 40)/ (5 -4) = 10 m/s²

a = 10 m/s²

God is with you!!!

5 0
4 years ago
Can someone please help me with science.
alekssr [168]

Answer:

The answers to your questions are given below

Explanation:

22. The energy of an electromagnetic wave and it's frequency are related by the following equation:

E = hf

Where:

E => is the energy

h => is the Planck's constant

f => is the frequency

From the equation i.e E = hf, we can conclude that the energy of a wave is directly proportional to it's frequency. This implies that an increase in the frequency of the wave will lead to an increase in the energy of the wave and also, a decrease in the frequency will lead to a decrease in the energy of the wave.

23. Gamma ray and radio wave are both electromagnetic waves. All electromagnetic waves has a constant speed of 3×10⁸ m/s in space.

Thus, gamma ray and radio wave have the same speed in space.

3 0
3 years ago
You ride your bike from home to school, covering a distance of 3 km in 15 min. what is your average speed in km/h?
MrRa [10]
15 minutes = .25 hrs
3km/.25 hrs
3 0
3 years ago
A manufacturer provides a warranty against failure of a carbon steel product within the first 30 days after sale. Out of 1000 so
hodyreva [135]

Answer:A) Risk(R)= $1000

B) There is justification for spending an additional cost of $100 to prevent a corrosion whose consequence in monetary terms is $1000

Explanation:R= Risk,

P=Probability of failure

C= Consequence of failure

Mathematically, R=P ×C

10 out of 1000 carbon-steal products failed

Probability of failure= 10/1000 =0.01

The consequence of failure by corrosion given in monetary term =$100,000

Risk of failure = 0.01 × $100,000

R=$1000

4 0
3 years ago
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