12.11.2021

A motorcycle passes over the top of a hill that has a radius of curvature of 100 m. The mass of the motorcycle plus rider is 300 kg. The motorcycle is moving at a speed of 30 m/s. The surface exerts a normal force of magnitude FN on the motorcycle.The motorcycle passes over the top of the hill again but now is moving at a speed of 33 m/s. How does the new normal force exerted on the motorcycle compare to FN

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24.06.2023, solved by verified expert
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A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Explanation:

From the question we are told that

Radius of curvatureA motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Mass A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

initial Speed of Motorcycle  A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Final  Speed of Motorcycle  A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Generally the equation Force at initial speed is  mathematically given as

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Generally the equation Force at Final speed is  mathematically given as

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

Therefore

A motorcycle passes over the top of a hill that, №17887085, 12.11.2021 03:38

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Physics
Step-by-step answer
P Answered by PhD

F_NF_N'

Explanation:

From the question we are told that

Radius of curvaturer=100m

Mass M=300kg

initial Speed of Motorcycle  V_1=30m/s

Final  Speed of Motorcycle  V_2=33m/s

Generally the equation Force at initial speed is  mathematically given as

F_N=mg-\frac{mv^2}{R}

F_N=300*9.8-\frac{(300*30)^2}{100}

F_N=240N

Generally the equation Force at Final speed is  mathematically given as

F_N'=mg-\frac{mv'^2}{R}

F_N'=300*9.8-\frac{(300*33)^2}{100}

F_N'=-327N

Therefore

F_NF_N'

Physics
Step-by-step answer
P Answered by Specialist
Answer: Option B and C are True.

Explanation:
The weight of the two blocks acts downwards.
Let the weight of the two blocks be W. Solving for T₁ and T₂:
w = T₁/cos 60° -----(1);
w = T₂/cos 30° ----(2);
equating (1) and (2)
T₁/cos 60° = T₂/cos 30°;
T₁ cos 30° = T₂ cos 60°;
T₂/T₁ = cos 30°/cos 60°;
T₂/T₁ =1.73.
Therefore, option a is false since T₂ > T₁.
Option B is true since T₁ cos 30° = T₂ cos 60°.
Option C is true because the T₃ is due to the weight of the two blocks while T₄ is only due to one block.
Option D is wrong because T₁ + T₂ > T₃ by simple summation of the two forces, except by vector addition.
Answer: Option B and C are True.

Explanation:  
The weight of the two blocks acts downwards.
Le
Physics
Step-by-step answer
P Answered by PhD

The question specifies the diameter of the screw, therefore the IMA of this screw is 0.812? / 0.318 = 8.02

Physics
Step-by-step answer
P Answered by PhD
First sum applied the Newton's second law motion: F = ma
Force = mass* acceleration
This motion define force as the product of mass times Acceleration (vs.Velocity). Since acceleration is the change in velocity divided by time,
force=(mass*velocity)/time
such that, (mass*velocity)/time=momentum/time
Therefore we get mass*velocity=momentum
Momentum=mass*velocity
Elephant mass=6300 kg; velocity=0.11 m/s
Momentum=6300*0.11
P=693 kg (m/s)
Dolphin mass=50 kg; velocity=10.4 m/s
Momentum=50*10.4
P=520 kg (m/s)
The elephant has more momentum(P) because it is large.
Physics
Step-by-step answer
P Answered by PhD
The change in temperature is 9.52°CExplanation:Since, the heat supplied by the electric kettle is totally used to increase the temperature of the water.Thus, from the law of conservation of energy can be stated as:Heat Supplied by Electric Kettle = Heat Absorbed by WaterHeat Supplied by Electric Kettle = m C ΔTwhere,Heat Supplied by Electric Kettle = 20,000 JMass of water = m = 0.5 kgSpecific Heat Capacity of Water = C = 4200 J/kg.°CChange in Temperature of Water = ΔTTherefore,20,000 J = (0.5 kg)(4200 J/kg.°C) ΔTΔT = 20,000 J/(2100 J/°C)ΔT = 9.52°C
Physics
Step-by-step answer
P Answered by PhD
Weight of barbell (m) = 100 kg
Uplifted to height (h) = 2m
Time taken= 1.5 s
Work done by Jordan = potential energy stored in barbell = mgh
= 100×2×9.8
= 1960J
Power = energy/time
= 1960/1.5
1306.67watts
Physics
Step-by-step answer
P Answered by PhD
Weight of jasmine (m) = 400 N
Height climbed on wall (h) = 5m
Total time taken in climbing = 5 sec
Work done in climbing the wall = rise in potential energy = mgh
= 400×9.8×51
= 19600J
Power generated by Jasmine = potential energy / time
= 19600/5
= 3920Watts
Physics
Step-by-step answer
P Answered by PhD
The horizontal and vertical motions of balloons are independent from each other.
Let vertical component of initial velocity U' horizontal component of initial velocity U"
Time of landing (t) is found with the help of vertical motion.
Since vertical component of initial velocity of balloon is zero(U' = 0)
From equation h = U't + 1/2gt^2
h = 1/2gt^2
t = √(2h/g)
t = √( 2×150/9.8)
t = 5.53 sec
Horizontal velocity = 50m/s
Horizontal range of balloon, R = U"t
= 50× 5.53
= 27.65m
So the balloon will go 27.65 metre away from the bridge
Physics
Step-by-step answer
P Answered by PhD
Gravity acceleration (g) = 9.8m/s^2
Time (t) = 3sec
Acceleration = velocity/time
Velocity = acceleration×time
= 9.8×3
= 29.4m/s

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