7. What mathematical game is played on squares? _____________

The horizontal bar rises at a constant rate of three hundred mm/s causing peg P to ride in the quarter circular slot. When coord

SVETLANKA909090 [29]

Answer:

Explanation:

Given

Horizontal bar rises with 300 mm/s

Let us take the horizontal component of P be

$P_x=rcos\theta$

$P_y=rsin\theta$

where $\theta$ is angle made by horizontal bar with x axis

Velocity at y=150 mm

$150=300sin\theta$

thus $\theta =30^{\circ}$

position of $P_x=rcos\theta =300\cdot cos30=300\times \frac{\sqrt{3}}{2}$

$P_x=259.80 mm$

$P=259.80\hat{i}+150\hat{j}$

Velocity at this instant

$u_x=-rsin\theta =300\times sin30=-150 mm/s$

$u_y=rcos\theta =300\times cos30=259.80 mm/s$

4 0

3 years ago

A 1520 kg car is rolling down a frictionless 14.4° slope. What is its acceleration?

Umnica [9.8K]

Answer:

a = 2.44 m/s²

Explanation:

The Net force acting on the car downwards the plane will be equal to the component of the weight that is parallel to the plane.

Thus;

mg(sin θ) = ma

Thus;. g(sin θ) = a

g is acceleration due to gravity = 9.81 m/s²

θ = 14.4°

Thus;

9.81 × sin 14.4 = a

a = 2.44 m/s²

7 0

2 years ago

Which answer is not a problem associated with sulfur dioxide? A) damage to buildings B) ozone depletion C) vegetation death D) b

swat32

Answer:

Answer is A. damage to buildings.

Explanation:

I hope it's helpful!

8 0

2 years ago

Children between the ages of 6 to 11 are within the developmental stage referred to as.... Middle childhood early childhood adol

tensa zangetsu [6.8K]

Answer:

Middle childhood

Explanation:

Middle childhood happens around ages 6 to 12, is a stage in the human development characterized by the steady rate of physical growth of the individual in contrast with the fast rate of emotional, cognitive and emotional development that will prepare them for future stages (adolescence and adulthood).

I hope you find this information useful and interesting! Good luck!

4 0

3 years ago

A 75 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 24 m/s.

Vikentia [17]

Answer:

31.66 m/s

Explanation:

mass of player, M = 75 kg

mass of ball, m = 0.45 kg

initial velocity of player, U = + 4 m/s

initial velocity of ball, u = - 24 m/s

Let the final speed of player is V and the ball is v.

use conservation of momentum

Momentum before collision = momentum after collision

75 x 4 - 0.45 x 24 = 75 x V + 0.45 x v

289.2 = 75 V + 0.45 v .... (1)

As the collision is perfectly elastic, coefficient of restitution,e = 1

So, $e=\frac{v_{1}-v_{2}}{u_{2}-u_{1}}$

V - v = u - U

V - v = -24 - 4 = - 28

V = v - 28, put this value in equation (1), we get

289.2 = 75 (v - 28) + 045 v

289.2 = 75 v - 2100 + 0.45 v

2389.2 = 75.45 v

v = 31.66 m/s

Thus, the velocity of ball after collision is 31.66 m/.

7 0

3 years ago

7. What mathematical game is played on squares? ______________