Pls provide step by step workings for each questions

13 _'L Magnetic force, just like any other force, is a vector quantity. However, the equation FM = qusin6 provides the magnitude of the magnetic force only. How do you determine the direction of the force? 2. A particle carrying a charge of +2.50 uC travelling at 3.40 x 105 mls enters a magnetic field as shown. If a uniform magnetic field is pointing directly into the page and has a strength of 0.500 T, what is the magnitude and direction of the force acting on the charge as itjust enters the magnetic field? 3. An electron moves at a speed of 54 m/s through a magnetic field with a strength of 1.2 T. The angle between the electron's velocity vector and the magnetic field is 90. What is the magnitude and direction of the force acting on the electron? 4. A proton (m = 1.67 x 10-27 kg) is moving along the x axis at a speed of 78 m/s. It enters a magnetic eld of strength 2.7 T. The angle between the proton's velocity vector and the magnetic field is 38. a. Calculate the initial magnetic force on the g proton. b. Determine the proton's initial acceleration. - 33 m 5. A charged particle moving along the +yaxis passes through a uniform magnetic field oriented in the +2 direction. A magnetic force acts on the particle in the x direction. a. Does the particle have a positive charge or a negative charge? b. How would the force change if the charge of the particle were tripled but the velocity were halved? c. How would the force change if the particle travelled parallel to the magnetic field along the +2 direction? 1. A piece of wire 45.2 cm long has a current of 12 A. The wire moves through a uniform magnetic field with a strength of 0.30 T. Calculate the magnitude of the magnetic force on the wire when the angle between the magnetic field and the wire is 0, 45, and 90. 2. Two electrical poles support a current-carrying wire. The mass of the 2.5 m segment of wire is 0.44 kg. A 15 A current travels through the wire. The conventional current is oriented due east, horizontal to Earth's surface. The strength of Earth's magnetic eld at the location is 57 uT and is oriented due north, horizontal to Earth's surface. north 1' : BEES! a. Determine the magnitude and the direction of the magnetic force on the 2.5 m segment of wire. b. Calculate the gravitational force on the 2.5 m segment of wire. m 1. A positive ion (q = +3.2 x 10'19 C) travels perpendicularly through a magnetic field of strength of 0.10 T with a speed of 3.0 x 105 m/s. If the radius of the circular path followed by the ion is 6.26 cm, what is the mass of the ion? An electron (m = 9.11 x 10'31 kg) travels perpendicularly through a magnetic field of strength 6.8 x 10'5 T at a speed of 3.4 x 105 m/s. What is the radius of the path of the electron? Suppose the particle identified is moving in the direction indicated by the green arrow and the magnetic field is directed into the page. a. Does the particle have a positive or negative charge? b. Describe how the trajectory changes when the mass is decreased by a factor of 10. c. Describe how the trajectory changes when the charge on the particle is increased by a factor of 3