Answer:
magnitude v0x = v0 * cos θ = 31 m/s * cos 16° = 30 m/s
Explanation:
Please see the figure for a graphical description of the problem. As you can see from the figure, the vector v0 (initial velocity) is the sum of its horizontal and vertical components v0x + v0y.
Using the trigonometric rule for right triangles:
cos θ = adjacent / hypotenuse
We can calculate the magnitude of the v0x vector.
Seeing the figure, notice that the vectors v0, its horizontal component, v0x, and its vertical component, v0y, form a right triangle.
v0x is the side adjacent to the angle θ, and v0 is the hypotenuse of the triangle. Then:
cos θ = magnitude v0x / magnitude v0
magnitude v0x = magnitude v0 * cos θ = 31 m/s * cos 16° = 30 m/s
Answer:
Explanation:
As we know that the tension in two strings are
now we have
so we can say
also we have
now divide two equations
Based on the calculations, the acceleration of this block as it slides down from the friction less ramp is equal to 0.85 m/s².
<h3>How to determine the acceleration of the block?</h3>
In order to determine the acceleration of this block, we would apply Newton's Second Law of Motion while taking moment about the tensional force.
The vertical component of the tensional force that is acting on the block as it slides down from this friction less ramp is given by:
T = Ma - Mgsinθ
0 = Ma - Mgsinθ
Ma = Mgsinθ
a = gsinθ
Substituting the given parameters into the formula, we have;
a = 9.8 × sin25
a = 9.8 × 0.4226
Acceleration, a = 0.85 m/s².
Read more on acceleration here: brainly.com/question/25961211
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Kinetic energy is the energy that is associated with motion. It is the energy possessed by an object that is moving. It is calculated from one-half the product of the mass and the square of the velocity of the object. From this, we can calculate the mass of the object. We do as follows:
KE = mv^2/2
500 J = m(5 m/s)^2 / 2
m = 40 kg