A plane was traveling at a constant speed of 250 m/s in a straight line for 50min. What is the plane’s acceleration ?

Paul [167]

Sound waves travel in a wave pattern such as viberation by viberating it taking sound with it

6 0

3 years ago

A 0.500 kg ball is dropped from rest at a point 1.20 m above the floor. The ball rebounds straight upward to a height of 0.700 m

KatRina [158]

To solve this problem we will apply the concepts related to energy conservation. With this we will find the speed before the impact. Through the kinematic equations of linear motion we will find the velocity after the impact.

Since the momentum is given as the product between mass and velocity difference, we will proceed with the velocities found to calculate it.

Part A) Conservation of the energy

$mgh = \frac{1}{2} mv^2$

$v_1 = \sqrt{2gh}$

$v_1 = \sqrt{2(9.8)(1.20)}$

$v_1 = 4.84m/s$

$\therefore v_1 = -4.84/s \rightarrow \text{Negative direction downward}$

Part B) Kinematic equation of linear motion,

$v_2^2 = u_0^2 +2a\Delta y$

Here

v= 0 Because at 1.5m reaches highest point, so v=0

$0 = u_2^2 +2(-9.8)(0.7)$

$u_2 = 3.7m/s$

Therefore the velocity after the collision with the floor is 3.7m/s

PART C) Total change of impulse is given as,

$J = P_2 -P_1$

$J = mU_2-mV_1$

$J = m(U_2-V_1)$

$J = (0.5)(3.7-(-4.84))$

$J = 4.27kg \cdot m/s \rightarrow \text{Upward because is positive}$

6 0

4 years ago

The magnitude of the magnetic field B a distance r from a long straight wire is B = μ 0 I 2 π r where μ 0 is the permeability co

PSYCHO15rus [73]

Answer:

The magnetic field is lowest for largest distance and highest when distance is least.

Explanation:

The magnitude of magnetic field strength at a distance 'r' from a long straight wire carrying current 'I' is given as:

$B=\frac{\mu_0 I}{2\pi r}\\Where,\mu_0\to permeability\ constant\ of\ free\ space$

Now, as per question, the distance 'r' is varied while keeping the current constant in the wire.

As seen from the above formula, the magnitude of magnetic field strength for a constant current varies inversely with the distance 'r'. This means that, as the value of 'r' increases, the magnitude of magnetic field strength decreases and vice-versa.

Therefore, the magnitude of magnetic field strength is maximum when the distance 'r' is least and the magnetic field is minimum for the largest distance.

Example:

If $B_1, B_2,\ and\ B_3$ are the magnitudes of magnetic field strengths for distances $r_1,r_2, \ and\ r_3$ respectively such that $r_1$ . Now, as per the explanation above, the order of magnitudes of magnetic field strength is: