The maximum height that the rock attains is : 7.42 m
Given data :
Vi = 15.0 m/s
uk = 0.425
angle made by roof ( θ ) = 42.0°
First step : calculate the deceleration of the rock
a = g*sinθ + uk * g * cosθ
= 9.8 * sin 42° + 0.425 * 9.8 * cos 42°
= 9.65 m/s²
Applying motion formula
v² = u² + 2as
= 15² - 2 * 9.65 * 10
v = 5.66 m/s
Initial height attained ( h₁ ) = 10 sin θ
= 10 * sin 45°
= 6.69 m
considering vertical height
V (y) = v sin θ
= 5.66 sin 42
= 3.79 m/s
Next step : Calculate height ( h₂ )
v² = u² + 2 a s
0 = 3.79² - 2 * 9.8 * h₂
therefore : h₂ = 0.73 m
The maximum height attained by the rock ( H ) = h₁ + h₂
= 6.69 + 0.73 = 7.42 m
Hence we can conclude thatThe maximum height that the rock attains is : 7.42 m
Learn more about projectile : brainly.com/question/24216590
Answer:
h = 7.42 m
Explanation:
deceleration of the rock
a = 9.65 m/s²
using formula
v² = u² + 2 a s
v² = 15² - 2×9.65 × 10
v = 5.66 m/s
the height attained is
h₁ = 10 sin θ
= 10 sin 42
= 6.69 m
now with vertical velocity it will reach to the height h₂
v y = v sin θ
= 5.66 sin 42
= 3.79 m/s
height is
v² = u² + 2 a s
0 = 3.79² - 2 × 9.8 ×h₂
h₂ = 0.73 m
the maximum height is
h = h₁ + h₂
= 6.69 + 0.73
h = 7.42 m
Answer:
The pan having beakers with steel ball will go down.
Explanation:
Both steel ball and plastic ball will experience buoyant force in upward direction . These forces will have same magnitude because they displace same volume of water. Both of them experience reaction force of buoyant force acting in downward direction which will try to lower the pan equally. But in case of plastic ball which is tied to the bottom , the tense string will apply a force equal to buoyant force in upward direction on the bottom of the beaker.
This force will balance the reaction buoyant force acting on the bottom of beaker in downward direction . Hence this pan will remain balanced but the other pan will go down.
The work done by nonconservative forces in stopping the 17,000-kilogram airplane landing at a speed of 82 m/s is 57,062,000 Joules. This is calculated by the change in kinetic energy of the airplane when it lands and comes to a stop.
The question refers to the concept of work-energy theorem in Physics, especially involving non-conservative forces. The airplane is initially moving and finally comes to rest. Its initial kinetic energy (KE) gets transferred to work done by nonconservative forces, which in this scenario includes friction due to the aircraft carrier deck and air resistance.
The initial kinetic energy of the plane is calculated using the formula 1/2 * m * v^2 where 'm' is the mass of the plane and 'v' is its speed. So, the initial kinetic energy of the plane is 1/2 * 17,000 kg * (82 m/s)^2 = 57,062,000 Joules. When the plane comes to rest, its final kinetic energy is 0. As per the work-energy theorem, the work done by nonconservative forces is equal to the change in the kinetic energy. Therefore, the work done by nonconservative forces in stopping the plane = Initial KE - Final KE = 57,062,000 Joules - 0 = 57,062,000 Joules.
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B. The force does not result in displacement
C. The force and displacement are perpendicular to each other
D. The force and displacement are in the same direction
Answer:
Work is said to occur when a force is able to cause displacement of an object in the direction of the applied force. It is given by the scalar product of force and displacement.
W = F.s = F s cos θ
Thus, no work is being done when no force is applied ( ∵ F = 0, W = 0) or the force does not result into displacement (∵ s = 0, F = 0) or when the force and displacement are perpendicular to each other (∵ θ =0, cos θ =0, W =0).
Answer: D. The force and displacement are in the same direction
Explanation: The guy above me is trying to hard to put information into his answer...
The correct answer to the question is :
CALCULATION:
The angle of inclination of the hill with the horizontal ground .
The magnitude of displacement or the distance travelled by the car up that hill is given as -
distance S = 10.0 Km.
We are asked to calculate the vertical displacement.
Applying vector resolution process, we get-
(a) is the horizontal component
(b) is the vertical component.
Hence, the vertical displacement is calculated as -
Vertical displacement
= 1.392 Km.
Hence, the vertical displacement of the car is