(a) The horizontal and vertical components of the ball’s initial velocity is 37.8 m/s and 12.14 m/s respectively.
(b) The maximum height above the ground reached by the ball is 8.6 m.
(c) The distance off course the ball would be carried is 0.38 m.
(d) The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
<h3>
Horizontal and vertical components of the ball's velocity</h3>
Vx = Vcosθ
Vx = 39.7 x cos(17.8)
Vx = 37.8 m/s
Vy = Vsin(θ)
Vy = 39.7 x sin(17.8)
Vy = 12.14 m/s
<h3>Maximum height reached by the ball</h3>
Maximum height above ground = 7.51 + 1.09 = 8.6 m
<h3>Distance off course after 2 second </h3>
Upward speed of the ball after 2 seconds, V = V₀y - gt
Vy = 12.14 - (2x 9.8)
Vy = - 7.46 m/s
Horizontal velocity will be constant = 37.8 m/s
Resultant speed of the ball after 2 seconds = √(Vy² + Vx²)
<h3>Resultant speed of the ball and crosswind</h3>
<h3>Distance off course the ball would be carried</h3>
d = Δvt = (38.72 - 38.53) x 2
d = 0.38 m
The ball's velocity after 2.0 seconds if there is no crosswind is 38.53 m/s.
Learn more about projectiles here: brainly.com/question/11049671
The process by which the heat energy is transmitted between the atoms or molecules is known as conduction.
Explanation:
Conduction is the transfer of heat through the material that are caused by temperature gradient with the material ends in heat flux. The heat transfer done by movement and mixing of a fluid is known as convection.
If a fluid is taken and it is kept as stationary. If there is a temperature gradient across that fluid, there would be transfer of heat that occurs in the fluid. It is negligible when compared to convective heat transfer.
Because of the heat transfer from solid to solid, density of liquid changes and start to move in upward direction due to low density. This type of motion is known as convection currents.
Answer:
(a) 181.05 m/s²
(b) 13.2°
Explanation:
Given:
Radius of the circle (R) = 0.610 m
Angular acceleration (α) = 67.6 rad/s²
Angular speed (ω) = 17.0 rad/s
(a)
Radial acceleration of the ball is given as:
Plug in the given values and solve for 
. This gives,
Now, tangential acceleration is given by the formula:
Plug in the given values and solve for 
. This gives,
Now, the magnitude of total acceleration is given as the square root of the sum of the squares of tangential and centripetal accelerations. Therefore,
Plug in the given values and solve for total acceleration, 
. This gives,
Therefore, the magnitude of total acceleration is 181.05 m/s².
(b)
Angle of total acceleration relative to radial direction is given by the formula:
Therefore, the total acceleration makes an angle of 13.2° relative to radial direction.
Answer:
For the purposes of your question, we can think of speed and velocity as being the same thing. Therefore, the kinetic energy of an object is proportional to the square of its velocity (speed). In other words, If there is a twofold increase in speed, the kinetic energy will increase by a factor of four.
Explanation:
