1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
13

A gymnast of mass 63.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume t

hat the rope does not stretch. Use the value 9.81m/s2 for the acceleration of gravity.
A)Calculate the tension T in the rope if the gymnast hangs motionless on the rope.Express your answer in newtons.
B)Calculate the tension T in the rope if the gymnast climbs the rope at a constant rate.Express your answer in newtons.
C)Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.600 m/s2 .Express your answer in newtons.
D)Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 0.600 m/s2 .Express your answer in newtons
Physics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

Explanation:

A ) When gymnast is motionless , he is in equilibrium

T = mg

= 63 x 9.81

= 618.03 N

B )

When gymnast climbs up at a constant rate , he is still in equilibrium ie net force acting on it is zero as acceleration is zero.

T = mg

= 618.03 N

C ) If the gymnast climbs up the rope with an upward acceleration of magnitude 0.600 m/s2

Net force on it = T - mg   , acting in upward direction

T - mg = m a

T =  mg + m a

= m ( g + a )

= 63 ( 9.81 + .6)

= 655.83 N

D )  If the gymnast slides down the rope with a downward acceleration of magnitude 0.600 m/s2

Net force acting in downward direction

mg - T = ma

T = m ( g - a )

= 63 x ( 9.81 - .6 )

= 580.23 N

You might be interested in
Two resistors, R1=3.85 Ω and R2=6.47 Ω , are connected in series to a battery with an EMF of 24.0 V and negligible internal resi
Bond [772]

Answer:

(a) 2.33 A

(b) 15.075 V

Explanation:

From the question,

The total resistance (Rt) = R1+R2 = 3.85+6.47

R(t) = 10.32 ohms.

Applying ohm's law,

V = IR(t)..........equation 1

Where V = Emf of the battery, I = current flowing through the circuit, R(t) = combined resistance of both resistors.

Note: Since both resistors are connected in series, the current flowing through them is the same.

Therefore,

I = V/R(t)............. Equation 2

Given: V = 24 V, R(t) = 10.32 ohms

Substitute these values into equation 2

I = 24/10.32

I = 2.33 A.

Hence the current through R1 = 2.33 A.

V2 = IR2.............. Equation 3

V2 = 2.33(6.47)

V2 = 15.075 V

7 0
3 years ago
Which laboratory activity involves a chemical change?
Elza [17]
A) leaving a copper penny in vinegar until it turns green
6 0
3 years ago
Read 2 more answers
Find the westward component of a resultant vector 85.42 unit, 23 degrees W of N
Sindrei [870]

Since the angle is West of North, therefore to find for the westward component (horizontal component) of the vector, we use the sin function:

sin θ = opposite side / hypotenuse = westward component / resultant vector

So the westward component (x) is:

x = 85.42 sin 23

<span>x = 33.38 unit</span>

5 0
3 years ago
A long jumper can jump a distance of 7.4 m when he takes off at an angle of 45° with respect to the horizontal. Assuming he can
GenaCL600 [577]

Answer:

0.02 m

Explanation:

R₁ = initial distance jumped by jumper = 7.4 m

R₂ = final distance jumped by jumper = ?

θ₁ = initial angle of jump = 45°

θ₂ = final angle of jump = 42.9°

v = speed at which jumper jumps at all time

initial distance jumped is given as

R_{1}=\frac{v^{2}Sin2\theta _{1} }{g}

final distance jumped is given as

R_{2}=\frac{v^{2}Sin2\theta _{2} }{g}

Dividing final distance by initial distance

\frac{R_{2}}{R_{1}}=\frac{Sin2\theta _{1}}{Sin2\theta _{2}}

\frac{R_{2}}{7.4}=\frac{Sin2(42.9)}{Sin2(45))}

R_{2} =7.38

distance lost is given as

d = R_{1} - R_{2}

d = 7.4 - 7.38

d = 0.02 m

8 0
3 years ago
What is an observation in an experiment ?
Elza [17]
<span>In science, </span>observation<span> can also involve the recording of data via the use of scientific instruments. The term may also refer to any data collected during the scientific activity.

Hope this helps, 

kwrob</span>
4 0
3 years ago
Other questions:
  • gives the speed v versus time t for a 0.500 kg object of radius 6.00 cm that rolls smoothly down a 30° ramp. The scale on the ve
    5·1 answer
  • A falling object accelerates from -10.0 m/s to -30.0 m/s. how much time does it take?
    14·2 answers
  • Definition of termperature in thermodynamics
    14·1 answer
  • How far will a runner travel at an average speed of 5m/s for 20 minutes?
    11·1 answer
  • How to convert to si and english using fraction style(picture is example)? 10 m/s to mph
    6·1 answer
  • How many species go extinct every day??
    11·1 answer
  • A scientist studies the impact of a drug on cancer.
    13·1 answer
  • What causes a bolt of lightning?
    10·2 answers
  • What is escape velocity ​
    12·1 answer
  • Which map would be most likely to cause the National Weather Service to issue a weather warning for Florida?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!